given 11pie/12=3pie/4+pie/6, find exact val. of tan 11pie/12

[airika713]

i need serious help like really fast! im doing sum and difference stuff for trig and i cant do this problems and i need the work shown

find the exact value of tan 11pie/12 given that 11pie/12 = 3pie/4 + pie/6

also

Find the exact value of sin(u + v) given that sin u= 5/13 and cos v= -3/5. Note that both u and v are second quadrant angles

 

[royhaas]

Re: i need serious help like really fast!

You can do these problems. Use the formula for the tangent of the sum of two angles for the first problem. Include the Pythagorean theorem and a Cartesian coordinate system for the second. Note that \(\displaystyle 3\pi/4 = \pi/2+\pi/4\). Draw a picture, especially in the second case.